On commensurability of quadratic differentials
Geometric Topology
2017-05-10 v1
Abstract
We consider commensurability of quadratic differentials on surfaces. Each commensurability class has a natural order by the covering relation. We show that each commensurability class contains a unique (orbifold) element. We also discuss the relationship between commensurability of quadratic differentials and fibered commensurability, a notion introduced by Calegari-Sun-Wang.
Keywords
Cite
@article{arxiv.1705.03199,
title = {On commensurability of quadratic differentials},
author = {Hidetoshi Masai},
journal= {arXiv preprint arXiv:1705.03199},
year = {2017}
}
Comments
5 pages. To appear in RIMS Kokyuroku Bessatsu. This is a preprint version. This paper was written and accepted while the author was in University of Tokyo